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1.0

Jun 30, 2018
06/18

by
Michael Hartglass; David Penneys

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From a planar algebra, we give a functorial construction to produce numerous associated $C^*$-algebras. Our main construction is a Hilbert $C^*$-bimodule with a canonical real subspace which produces Pimsner-Toeplitz, Cuntz-Pimsner, and generalized free semicircular $C^*$-algebras. By compressing this system, we obtain various canonical $C^*$-algebras, including Doplicher-Roberts algebras, Guionnet-Jones-Shlyakhtenko algebras, universal (Toeplitz-)Cuntz-Krieger algebras, and the newly...

Topics: Mathematics, Quantum Algebra, Operator Algebras

Source: http://arxiv.org/abs/1401.2485

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0.0

Jun 30, 2018
06/18

by
David H Yang

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We give a new interpretation of Kozsul cohomology, which is equivalent under the Bridgeland-King-Reid equivalence to Voisin's Hilbert scheme interpretation in dimensions 1 and 2, but is different in higher dimensions. As an application, we prove that the dimension $K_{p,q}(B,L)$ is a polynomial in $d$ for $L=dA+P$ with $A$ ample and $d$ large enough.

Topics: Mathematics, Algebraic Geometry

Source: http://arxiv.org/abs/1407.4183

خانه ریاضیات پروفسور هشترودی مراغه www.Maragheh-Math.com Maragheh.Math.House@gmail.com

Topic: پوستر دانشمندان - ریاضیدان - دیوید هیلبرت

"[Photograph]: David Hilbert" is an article from American Journal of Mathematics, Volume 29 . View more articles from American Journal of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2369910

Source: http://www.jstor.org/stable/10.2307/2369910

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Sep 18, 2013
09/13

by
David Craig; Fay Dowker; Joe Henson; Seth Major; David Rideout; Rafael D. Sorkin

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One obtains Bell's inequalities if one posits a hypothetical joint probability distribution, or {\it measure}, whose marginals yield the probabilities produced by the spin measurements in question. The existence of a joint measure is in turn equivalent to a certain causality condition known as ``screening off''. We show that if one assumes, more generally, a joint {\it quantal measure}, or ``decoherence functional'', one obtains instead an analogous inequality weaker by a factor of $\sqrt{2}$....

Source: http://arxiv.org/abs/quant-ph/0605008v3

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Sep 18, 2013
09/13

by
David Chataur

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Using intersection theory in the context of Hilbert manifolds and geometric homology we show how to recover the main operations of string topology built by M. Chas and D. Sullivan. We also study and build an action of the homology of reduced Sullivan's chord diagrams on the singular homology of free loop spaces, extending previous results of R. Cohen and V. Godin and unifying part of the rich algebraic structure of string topology as an algebra over the prop of these reduced diagrams. Some of...

Source: http://arxiv.org/abs/math/0306080v2

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Sep 21, 2013
09/13

by
David P. Blecher; Upasana Kashyap

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We give a new Banach module characterization of $W^*$-modules, also known as selfdual Hilbert $C^*$-modules over a von Neumann algebra. This leads to a generalization of the notion, and the theory, of W*-modules, to the setting where the operator algebras are $\sigma$-weakly closed algebras of operators on a Hilbert space. That is, we find the appropriate weak* topology variant of our earlier notion of {\em rigged modules}, and their theory, which in turn generalizes the notions of C*-module,...

Source: http://arxiv.org/abs/0712.1236v2

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Sep 23, 2013
09/13

by
David W. Kribs; Baruch Solel

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Every directed graph defines a Hilbert space and a family of weighted shifts that act on the space. We identify a natural notion of periodicity for such shifts and study their C*-algebras. We prove the algebras generated by all shifts of a fixed period are of Cuntz-Krieger and Toeplitz-Cuntz-Krieger type. The limit C*-algebras determined by an increasing sequence of positive integers, each dividing the next, are proved to be isomorphic to Cuntz-Pimsner algebras and the linking maps are shown to...

Source: http://arxiv.org/abs/math/0411379v1

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0.0

Jun 30, 2018
06/18

by
David Radnell; Eric Schippers; Wolfgang Staubach

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Let $\Sigma$ be a Riemann surface of genus $g$ bordered by $n$ curves homeomorphic to the circle $\mathbb{S}^1$, and assume that $2g+2-n>0$. For such bordered Riemann surfaces, the authors have previously defined a Teichm\"uller space which is a Hilbert manifold and which is holomorphically included in the standard Teichm\"uller space. Based on this, we present alternate models of the aforementioned Teichm\"uller space and show in particular that it is locally modelled on a...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1403.0868

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Sep 19, 2013
09/13

by
David P. Blecher; Baruch Solel

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Every unital nonselfadjoint operator algebra possesses canonical and functorial classes of faithful (even completely isometric) Hilbert space representations satisfying a double commutant theorem generalizing von Neumann's classical result. Examples and complementary results are given.

Source: http://arxiv.org/abs/math/0303338v1

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0.0

Jun 30, 2018
06/18

by
David Beltran

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We provide a Fefferman-Stein type weighted inequality for maximally modulated Calder\'on-Zygmund operators that satisfy \textit{a priori} weak type unweighted estimates. This inequality corresponds to a maximally modulated version of a result of P\'erez. Applying it to the Hilbert transform we obtain the corresponding Fefferman-Stein inequality for the Carleson operator $\mathcal{C}$, that is $\mathcal{C}: L^p(M^{\lfloor p \rfloor +1}w) \to L^p(w)$ for any $1

Topics: Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1410.6085

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Sep 18, 2013
09/13

by
David Opela

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Ando's theorem states that any pair of commuting contractions on a Hilbert space can be dilated to a pair of commuting unitaries. Parrott presented an example showing that an analogous result does not hold for a triple of pairwise commuting contractions. We generalize both of these results as follows. Any n-tuple of contractions that commute according to a graph without a cycle can be dilated to an n-tuple of unitaries that commute according to that graph. Conversely, if the graph contains a...

Source: http://arxiv.org/abs/math/0505154v1

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Sep 23, 2013
09/13

by
David Shoikhet

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Let $D$ be a bounded domain in a complex Banach space. According to the Earle-Hamilton fixed point theorem, if a holomorphic mapping $F : D \mapsto D$ maps $D$ strictly into itself, then it has a unique fixed point and its iterates converge to this fixed point locally uniformly. Now let $\mathcal{B}$ be the open unit ball in a complex Hilbert space and let $F : \mathcal{B} \mapsto \mathcal{B}$ be holomorphic. We show that a similar conclusion holds even if the image $F(\mathcal{B})$ is not...

Source: http://arxiv.org/abs/1105.2877v1

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Sep 23, 2013
09/13

by
David Andriot; Olaf Hohm; Magdalena Larfors; Dieter Lust; Peter Patalong

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We give a geometrical interpretation of the non-geometric Q and R fluxes. To this end we consider double field theory in a formulation that is related to the conventional one by a field redefinition taking the form of a T-duality inversion. The R flux is a tensor under diffeomorphisms and satisfies a non-trivial Bianchi identity. The Q flux can be viewed as part of a connection that covariantizes the winding derivatives with respect to diffeomorphisms. We give a higher-dimensional action with a...

Source: http://arxiv.org/abs/1202.3060v2

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0.0

Jun 30, 2018
06/18

by
Alex Fink; David E Speyer; Alexander Woo

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Given the complement of a hyperplane arrangement, let $\Gamma$ be the closure of the graph of the map inverting each of its defining linear forms. The characteristic polynomial manifests itself in the Hilbert series of $\Gamma$ in two different-seeming ways, one due to Orlik and Terao and the other to Huh and Katz. We define an extension of the no broken circuit complex of a matroid and use it to give a direct Gr\"obner basis argument that the polynomials extracted from the Hilbert series...

Topics: Combinatorics, Commutative Algebra, Mathematics

Source: http://arxiv.org/abs/1703.05967

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Sep 20, 2013
09/13

by
David Radnell; Eric Schippers; Wolfgang Staubach

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We consider bordered Riemann surfaces which are biholomorphic to compact Riemann surfaces of genus g with n regions biholomorphic to the disc removed. We define a refined Teichmueller space of such Riemann surfaces and demonstrate that in the case that 2g+2-n>0, this refined Teichmueller space is a Hilbert manifold. The inclusion map from the refined Teichmueller space into the usual Teichmueller space (which is a Banach manifold) is holomorphic. We also show that the rigged moduli space of...

Source: http://arxiv.org/abs/1207.0973v1

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47

Oct 28, 2014
10/14

by
Granados-Lieberman, David; Valtierra-Rodriguez, Martin; Morales-Hernandez, Luis A.; Romero-Troncoso, Rene J.; Osornio-Rios, Roque A.

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This article is from Sensors (Basel, Switzerland) , volume 13 . Abstract Power quality disturbance (PQD) monitoring has become an important issue due to the growing number of disturbing loads connected to the power line and to the susceptibility of certain loads to their presence. In any real power system, there are multiple sources of several disturbances which can have different magnitudes and appear at different times. In order to avoid equipment damage and estimate the damage severity, they...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3690012

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39

Sep 20, 2013
09/13

by
Mark Elin; Simeon Reich; David Shoikhet

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We establish a Julia--Carath\'eodory theorem and a boundary Schwarz--Wolff lemma for hyperbolically monotone mappings in the open unit ball of a complex Hilbert space

Source: http://arxiv.org/abs/math/0608128v1

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0.0

Jun 30, 2018
06/18

by
David Seifert

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This article generalises the well-known Katznelson-Tzafriri theorem for a $C_0$-semigroup $T$ on a Banach space $X$, by removing the assumption that a certain measure in the original result be absolutely continuous. In an important special case the rate of decay is quantified in terms of the growth of the resolvent of the generator of $T$. These results are closely related to ones obtained recently in the Hilbert space setting by Batty, Chill and Tomilov in [6]. The main new idea is to...

Topics: Functional Analysis, Mathematics

Source: http://arxiv.org/abs/1410.1301

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4.0

Jun 29, 2018
06/18

by
David J. Foulis; Anna Jencova; Sylvia Pulmannova

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A generalized Hermitian (GH-) algebra is a generalization of the partially ordered Jordan algebra of all Hermitian operators on a Hilbert space. We introduce the notion of a gh-tribe, which is a commutative GH-algebra of functions on a nonempty set $X$ with pointwise partial order and operations, and we prove that every commutative GH-algebra is the image of a gh-tribe under a surjective GH-morphism. Using this result, we prove each element $a$ of a GH-algebra $A$ corresponds to a real...

Topics: Functional Analysis, Mathematical Physics, Rings and Algebras, Mathematics

Source: http://arxiv.org/abs/1610.06208

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Sep 18, 2013
09/13

by
David Bar-Moshe

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Let $G$ be a compact semisimple Lie group and $T$ be a maximal torus of $G$. We describe a method for weight multiplicity computation in unitary irreducible representations of $G$, based on the theory of Berezin quantization on $G/T$. Let $\Gamma_{\rm hol}(\mathcal{L}^{\lambda})$ be the reproducing kernel Hilbert space of holomorphic sections of the homogeneous line bundle $\mathcal{L}^{\lambda}$ over $G/T$ associated with the highest weight $\lambda$ of the irreducible representation...

Source: http://arxiv.org/abs/math-ph/0306056v3

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23

Sep 22, 2013
09/13

by
Michael Frank; David R. Larson

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The goal of the present paper is a short introduction to a general module frame theory in C*-algebras and Hilbert C*-modules. The reported investigations rely on the idea of geometric dilation to standard Hilbert C*-modules over unital C*-algebras that possess orthonormal bases, and of reconstruction of the frames by projections and other bounded module operators with suitable ranges. We obtain frame representation and decomposition theorems, as well as similarity and equivalence results. The...

Source: http://arxiv.org/abs/math/0011184v1

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32

Jul 20, 2013
07/13

by
David P. Blecher

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We show that two operator algebras are strongly Morita equivalent (in the sense of Blecher, Muhly and Paulsen) if and only if their categories of operator modules are equivalent via completely contractive functors. Moreover, any such functor is completely isometrically isomorphic to the Haagerup tensor product (= interior tensor product) with a strong Morita equivalence bimodule.

Source: http://arxiv.org/abs/math/9906080v1

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35

Sep 20, 2013
09/13

by
Victoria Powers; Bruce Reznick; Claus Scheiderer; Frank Sottile

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David Hilbert proved that a non-negative real quartic form f(x,y,z) is the sum of three squares of quadratic forms. We give a new proof which shows that if the complex plane curve Q defined by f is smooth, then f has exactly 8 such representations, up to equivalence. They correspond to those real 2-torsion points of the Jacobian of Q which are not represented by a conjugation-invariant divisor on Q.

Source: http://arxiv.org/abs/math/0405475v1

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Jul 20, 2013
07/13

by
David H. Sattinger; Jacek Szmigielski

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\We consider an inverse scattering problem for Schr\"odinger operators with energy dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a Riemann surface. A vanishing lemma is proved for two distinct symmetry classes. As an application we prove global existence theorems for the two distinct systems of partial differential equations $u_t+(u^2/2+w)_x=0, w_t\pm u_{xxx}+(uw)_x=0$ for suitably restricted, complementary classes of initial data.

Source: http://arxiv.org/abs/solv-int/9712013v1

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39

Sep 19, 2013
09/13

by
Mark Elin; Marina Levenshtein; Simeon Reich; David Shoikhet

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We present a rigidity property of holomorphic generators on the open unit ball $\mathbb{B}$ of a Hilbert space $H$. Namely, if $f\in\Hol (\mathbb{B},H)$ is the generator of a one-parameter continuous semigroup ${F_t}_{t\geq 0}$ on $\mathbb{B}$ such that for some boundary point $\tau\in \partial\mathbb{B}$, the admissible limit $K$-$\lim\limits_{z\to\tau}\frac{f(x)}{\|x-\tau\|^{3}}=0$, then $f$ vanishes identically on $\mathbb{B}$.

Source: http://arxiv.org/abs/0708.2899v1

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36

Sep 23, 2013
09/13

by
David W. Catlin; John P. D'Angelo

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We consider positivity conditions both for real-valued functions of several complex variables and for Hermitian forms. We prove a stabilization theorem relating these two notions, and give some applications to proper mappings between balls in different dimensions. The technique of proof relies on the simple expression for the Bergman kernel function for the unit ball and elementary facts about Hilbert spaces. Our main result generalizes to Hermitian forms a theorem proved by Polya [HLP] for...

Source: http://arxiv.org/abs/math/9511201v1

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31

Sep 18, 2013
09/13

by
David Cox; Andrew R. Kustin; Claudia Polini; Bernd Ulrich

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Consider a rational projective curve C of degree d over an algebraically closed field k. There are n homogeneous forms g_1,...,g_n of degree d in B=k[x,y] which parameterize C in a birational, base point free, manner. We study the singularities of C by studying a Hilbert-Burch matrix phi for the row vector [g_1,...,g_n]. In the "General Lemma" we use the generalized row ideals of phi to identify the singular points on C, their multiplicities, the number of branches at each singular...

Source: http://arxiv.org/abs/1102.5072v2

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0.0

Jun 30, 2018
06/18

by
Jacob A. Barandes; David Kagan

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We summarize a new realist interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes, but leaves the theory's basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory asserts that closed quantum systems have specific states that evolve unitarily along definite...

Topics: Quantum Physics, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1405.6754

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1.0

Jun 30, 2018
06/18

by
Marcos Rosenbaum; J. David Vergara; Román Juárez; A. A. Minzoni

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A twisted ${\mathcal C}^\star $- algebra of the extended (noncommutative) Heisenberg-Weyl group has been constructed which takes into account the Uncertainty Principle for coordinates in the Planck length regime. This general construction is then used to generate an appropriate Hilbert space and observables for the noncommutative theory which, when applied to the Bianchi I Cosmology, leads to a new set of equations that describe the quantum evolution of the universe. We find that this...

Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1401.1759

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99

Jul 20, 2013
07/13

by
David Hasler; Ira Herbst

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We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a certain class of operators in Fock space we show that rotation invariance implies the absence of terms which either create or annihilate only a single particle. We outline an application of this result in an operator theoretic renormalization analysis of Hamilton operators, which occur in non-relativistic qed.

Source: http://arxiv.org/abs/1107.4577v1

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36

Sep 22, 2013
09/13

by
David E. Evans; Mathew Pugh

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Generalizing Jones's notion of a planar algebra, we have previously introduced an A_2-planar algebra capturing the structure contained in the double complex pertaining to the subfactor for a finite SU(3) ADE graph with a flat cell system. We now introduce the notion of modules over an A_2-planar algebra, and describe certain irreducible Hilbert A_2-TL-modules. We construct an A_2-graph planar algebra associated to each pair (G,W) given by an SU(3) ADE graph G and a cell system W on G. A partial...

Source: http://arxiv.org/abs/0906.4311v2

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38

Sep 23, 2013
09/13

by
David J. Foulis; Sylvia Pulmannova

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We refer to the real Jordan Banach algebra of bounded Hermitian operators on a Hilbert space as a Hermitian algebra. We define an abstract Hermitian algebra (AH-algebra) to be the directed group of an e-ring that contains a semitransparent element, has the quadratic annihilation property, and satisfies a Vigier condition on pairwise commuting ascending sequences. All of this terminology is explicated in this article, where we launch a study of AH-algebras. Here we establish the fundamental...

Source: http://arxiv.org/abs/0710.5062v1

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36

Sep 20, 2013
09/13

by
David G. Wagner

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Let k be a field of characteristic zero. We consider graded subalgebras A of k[x_1,...,x_m]/(x_1^2,...,x_m^2) generated by d linearly independant linear forms. Representations of matroids over k provide a natural description of the structure of these algebras. In return, the numerical properties of the Hilbert function of A yield some information about the Tutte polynomial of the corresponding matroid. Isomorphism classes of these algebras correspond to equivalence classes of hyperplane...

Source: http://arxiv.org/abs/math/9810005v2

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29

Sep 23, 2013
09/13

by
David Fisher; G. A. Margulis

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Let $\Gamma$ be a discrete group with property $(T)$ of Kazhdan. We prove that any Riemannian isometric action of $\Gamma$ on a compact manifold $X$ is locally rigid. We also prove a more general foliated version of this result. The foliated result is used in our proof of local rigidity for standard actions of higher rank semisimple Lie groups and their lattices in \cite{FM2}. One definition of property $(T)$ is that a group $\Gamma$ has property $(T)$ if every isometric $\Gamma$ action on a...

Source: http://arxiv.org/abs/math/0312386v3

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41

Sep 20, 2013
09/13

by
Dávid Kunszenti-Kovács

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We investigate whether almost weak stability of an operator $T$ on a Banach space $X$ implies its almost weak polynomial stability. We show, using a modified version of the van der Corput Lemma that if $X$ is a Hilbert space and $T$ a contraction, then the implication holds. On the other hand, based on a TDS arising from a two dimensional ODE, we give an explicit example of a contraction on a $C_0$ space that is almost weakly stable, but its appropriate polynomial powers fail to converge weakly...

Source: http://arxiv.org/abs/1207.5835v3

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1.0

Jun 29, 2018
06/18

by
Alan M. Lewis; Thomas P. Fay; David E. Manolopoulos

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The standard quantum mechanical expressions for the singlet and triplet survival probabilities and product yields of a radical pair recombination reaction involve a trace over the states in a combined electronic and nuclear spin Hilbert space. If this trace is evaluated deterministically, by performing a separate time-dependent wavepacket calculation for each initial state in the Hilbert space, the computational effort scales as $O(Z^2\log Z)$, where $Z$ is the total number of nuclear spin...

Topics: Chemical Physics, Physics

Source: http://arxiv.org/abs/1612.09517

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42

Jul 24, 2013
07/13

by
David Gomez-Ullate; Niky Kamran; Robert Milson

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We present two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem. As opposed to the classical orthogonal polynomial systems, these sequences start with a polynomial of degree one. We denote these polynomials as $X_1$-Jacobi and $X_1$-Laguerre and we prove that they are orthogonal with respect to a positive definite inner product defined over the the compact interval $[-1,1]$ or the half-line $[0,\infty)$, respectively, and they are a basis of the corresponding $L^2$...

Source: http://arxiv.org/abs/0807.3939v2

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48

Sep 21, 2013
09/13

by
Nicolas Durrande; David Ginsbourger; Olivier Roustant; Laurent Carraro

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Given a reproducing kernel Hilbert space H of real-valued functions and a suitable measure mu over the source space D (subset of R), we decompose H as the sum of a subspace of centered functions for mu and its orthogonal in H. This decomposition leads to a special case of ANOVA kernels, for which the functional ANOVA representation of the best predictor can be elegantly derived, either in an interpolation or regularization framework. The proposed kernels appear to be particularly convenient for...

Source: http://arxiv.org/abs/1106.3571v2

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45

Sep 21, 2013
09/13

by
Elias Katsoulis; David W. Kribs

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Based on a Wold decomposition for families of partial isometries and projections of Cuntz-Krieger-Toeplitz-type, we extend several fundamental theorems from the case of single vertex graphs to the general case of countable directed graphs with no sinks. We prove a Szego-type factorization theorem for CKT families, which leads to information on the structure of the unit ball in free semigroupoid algebras, and show that joint similarity implies joint unitary equivalence for such families. For...

Source: http://arxiv.org/abs/math/0311178v2

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36

Sep 21, 2013
09/13

by
Michael M. Wolf; David Perez-Garcia

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Using tools from classical signal processing, we show how to determine the dimensionality of a quantum system as well as the effective size of the environment's memory from observable dynamics in a model-independent way. We discuss the dependence on the number of conserved quantities, the relation to ergodicity and prove a converse showing that a Hilbert space of dimension D+2 is sufficient to describe every bounded sequence of measurements originating from any D-dimensional linear equations of...

Source: http://arxiv.org/abs/0901.2542v2

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22

Sep 23, 2013
09/13

by
Brooke Feigon; David Whitehouse

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We use the relative trace formula to obtain exact formulas for central values of certain twisted quadratic base change L-functions averaged over Hilbert modular forms of a fixed weight and level. We apply these formulas to the subconvexity problem for these L-functions. We also establish an equidistribution result for the Hecke eigenvalues weighted by these L-values.

Source: http://arxiv.org/abs/0810.4726v2

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3.0

Jun 27, 2018
06/18

by
Juan P. Dehollain; Stephanie Simmons; Juha T. Muhonen; Rachpon Kalra; Arne Laucht; Fay Hudson; Kohei M. Itoh; David N. Jamieson; Jeffrey C. McCallum; Andrew S. Dzurak; Andrea Morello

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Bell's theorem sets a boundary between the classical and quantum realms, by providing a strict proof of the existence of entangled quantum states with no classical counterpart. An experimental violation of Bell's inequality demands simultaneously high fidelities in the preparation, manipulation and measurement of multipartite quantum entangled states. For this reason the Bell signal has been tagged as a single-number benchmark for the performance of quantum computing devices. Here we...

Topics: Condensed Matter, Mesoscale and Nanoscale Physics, Quantum Physics

Source: http://arxiv.org/abs/1504.03112

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Sep 18, 2013
09/13

by
David Eisenbud; Frank-Olaf Schreyer

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The Betti numbers of a graded module over the polynomial ring form a table of numerical invariants that refines the Hilbert polynomial. A sequence of papers sparked by conjectures of Boij and S\"oderberg have led to the characterization of the possible Betti tables up to rational multiples---that is, to the rational cone generated by the Betti tables. We will summarize this work by describing the cone and the closely related cone of cohomology tables of vector bundles on projective space,...

Source: http://arxiv.org/abs/1102.3559v1

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0.0

Jun 28, 2018
06/18

by
André Henriques; David Penneys

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Bicommutant categories are higher categorical analogs of von Neumann algebras that were recently introduced by the first author. In this article, we prove that every unitary fusion category gives an example of a bicommutant category. This theorem categorifies the well known result according to which a finite dimensional *-algebra that can be faithfully represented on a Hilbert space is in fact a von Neumann algebra.

Topics: Quantum Algebra, Operator Algebras, Mathematics, Category Theory

Source: http://arxiv.org/abs/1511.05226

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Sep 19, 2013
09/13

by
David Brown

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Path integral methods are used to derive a general expression for the entropy of a black hole in a diffeomorphism invariant theory. The result, which depends on the variational derivative of the Lagrangian with respect to the Riemann tensor, agrees with the result obtained from Noether charge methods by Iyer and Wald. The method used here is based on the direct expression of the density of states as a path integral (the microcanonical functional integral). The analysis makes crucial use of the...

Source: http://arxiv.org/abs/gr-qc/9506085v1

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24

Sep 22, 2013
09/13

by
David D. Song; Richard J. Szabo

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The quantum corrections to the counting of statistical entropy for the 5+1-dimensional extremal black string in type-IIB supergravity with two observers are studied using anomalous Wess-Zumino actions for the corresponding intersecting D-brane description. The electric-magnetic duality symmetry of the anomalous theory implies a new symmetry between D-string and D-fivebrane sources and renders opposite sign for the RR charge of one of the intersecting D-branes relative to that of the black...

Source: http://arxiv.org/abs/hep-th/9805027v3

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22

Sep 18, 2013
09/13

by
Amihay Hanany; David Vegh; Alberto Zaffaroni

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Brane tilings are efficient mnemonics for Lagrangians of N=2 Chern-Simons-matter theories. Such theories are conjectured to arise on M2-branes probing singular toric Calabi-Yau fourfolds. In this paper, a simple modification of the Kasteleyn technique is described which is conjectured to compute the three dimensional toric diagram of the non-compact moduli space of a single probe. The Hilbert Series is used to compute the spectrum of non-trivial scaling dimensions for a selected set of examples.

Source: http://arxiv.org/abs/0809.1440v1